480088 has 16 divisors (see below), whose sum is σ = 1028880. Its totient is φ = 205728.

The previous prime is 480071. The next prime is 480091. The reversal of 480088 is 880084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

480088 is a modest number, since divided by 88 gives 48 as remainder.

It is a congruent number.

It is an unprimeable number.

480088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4231 + ... + 4342.

It is an arithmetic number, because the mean of its divisors is an integer number (64305).

2⁴⁸⁰⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

480088 is an abundant number, since it is smaller than the sum of its proper divisors (548792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480088 is a wasteful number, since it uses less digits than its factorization.

480088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 480088 is about 692.8838286466. The cubic root of 480088 is about 78.3021373692.

The spelling of 480088 in words is "four hundred eighty thousand, eighty-eight".